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On bent functions lying outside the completed Maiorana-McFarland class and permutations via translators
Nastja Cepak, 2018, doctoral dissertation

Found in: osebi
Published: 17.09.2018; Views: 430; Downloads: 9
URL Full text (0,00 KB)

27.
On derivatives of planar mappings and their connections to complete mappings
Amela Muratović-Ribić, Enes Pašalić, 2018, original scientific article

Abstract: Given are necessary conditions for a permutation polynomial to be the derivative of a planar mapping. These conditions are not sufficient and there might exist permutation polynomials which are not derivatives of some planar mapping satisfying these conditions. For the first time we show that there is a close connection between two seemingly unrelated structures, namely planar and complete mappings. It is shown that any planar mapping induces a sequence of complete mappings having some additional interesting properties. Furthermore, a class of almost planar mappings over extension fields is introduced having the property that its derivatives are permutations in most of the cases. This class of functions then induces many infinite classes of complete mappings (permutations) as well.
Found in: osebi
Keywords: planar mapping, derivatives, complete mappings, permutation polynomials
Published: 19.12.2018; Views: 523; Downloads: 104
URL Full text (0,00 KB)

28.
Design methods for semi-bent functions
Enes Pašalić, Sugata Gangopadhyay, WeiGuo Zhang, Samed Bajrić, 2019, original scientific article

Abstract: Semi-bent functions play an important role in the construction of orthogonal variable spreading factor codes used in code-division multiple-access (CDMA) systems as well as in certain cryptographic applications. In this article we provide several infinite classes of semi-bent functions, where each class is characterized by either a different decomposition of such a function with respect to the Walsh spectra of its subfunctions, or by the method used for its derivation. In particular, we also give the exact number of possibilities of decomposing bent functions, in a subclass of the Maiorana-McFarland class.
Found in: osebi
Keywords: cryptography, Boolean functions, bent functions, semi-bent functions, derivatives
Published: 19.12.2018; Views: 921; Downloads: 102
URL Full text (0,00 KB)

29.
An iterative method for linear decomposition of index generating functions
Samir Hodžić, Enes Pašalić, Anupam Chattopadhyay, 2019, original scientific article

Found in: osebi
Keywords: (incompletely specified) index generating functions, linear decomposition, linear injective mappings
Published: 13.02.2019; Views: 335; Downloads: 300
.pdf Full text (853,54 KB)
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30.
New second-order threshold implementation of AES
Yongzhuang Wei, Fu Yao, Enes Pašalić, An Wang, 2019, original scientific article

Found in: osebi
Keywords: cryptography, AES block cipher, protection against side-channel attacks
Published: 13.02.2019; Views: 328; Downloads: 55
URL Full text (0,00 KB)

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